On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?

Answers

Answer 1

Answer:

Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $

Step-by-step explanation:

Given:

Initial price=$5.36

Rate=4.15 %

To Find:

Function which represents the growth price for stock market?

Solution:

As the function is growing one and with same rate and depends upon the time period ,

So the exponential function as

[tex]P=A(1+R)^t[/tex] will the required function ,

So P will be price of stock at t time period with R as rate for  function.

A be the previous year price

From 2009 to 2013 rate is 4.15 %

we have to find price after 2 years

So t=2  , A at 2009 =5.36$

So P at 2011 will be given by,

[tex]P=A(1+R)^t[/tex]

[tex]P=5.36(1+0.0415)^2[/tex]

[tex]P=5.36(1.0415)^2[/tex]

[tex]P=5.8141 $[/tex]


Related Questions

Which linear function represents the table? A) y = 7x − 7 B) y = 7x + 7 C) y = −7x + 7 D) y = −7x − 7

Answers

Answer:

Y = -7x+7

Step-by-step explanation:

(This takes a while)

A) Y = 7x - 7

B) Y = 7x + 7

C) Y = -7x + 7

D) Y = - 7x - 7

The asnwer is: C.

Because by distribution the numbers of [x], you will find that you will get [y]. And when you must do this with each of them in order to find out which is the right function.

(6,-35) -> Subsitute 6 into [x]:

Y = 7(6) - 7

Y = 42 - 7

Y = 35

This is wrong, because [y] is supposed to equal -35 and not 35. So A. is out.

B. is also positive, so that means you can't get a negative from it either, so that's out.

C. and D. are both negative, so its between these two.

Y = -7x + 7

Y = -7(6) +7

Y = -42 +7

Y = -35 <- Okay, so that's correct, now let's check D.

Y = -7(6) - 7

Y = -42 - 7

Y = -49 <- This answer is wrong, so your correct answer is C!

The best thing to do is distribute into each, it's quite a process, but it'll help  you find out the answer!

Which equation has x = 4 as the solution?
olog,(3x+4)= 2
log, (2x-5) = 2
log, 64=4
log, 16 =4

Answers

16=4 because in order to get 4 you need have to divide 16 into 4

The equation that has the solution x = 4 is [tex]log_ 4 (3x+4) = 2[/tex].

Option A is the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To find which equation has x = 4 as the solution,

We can substitute x = 4 into each equation and see which one gives a true statement.

Now,

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]

We can write it as,

4² = 3x + 4

16 = 3x + 4

16 - 4 = 3x

3x = 12

x = 4

3² = 2x - 5

9 = 2x - 5

9 + 5 = 2x

14 = 2x

x = 7

[tex]x^4[/tex] = 64

x = [tex]64^{1/4}[/tex]

[tex]x^4[/tex] = 16

x = 16[tex]16^{1/4}[/tex]

x = 2

Thus,

[tex]log_ 4 (3x+4) = 2[/tex] has the solution x = 4.

Learn more about solutions of equations here:

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The complete question:

Which equation has x = 4 as the solution?

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]

3 – (–3) + 7 – 4 =

Question 12 options:

A)
14

B)
9

C)
2

D)
12

Answers

Answer:

=9

Step-by-step explanation:

3–(–3)+7–4=

=3+3+7-4

=6+7-4

=13-4

=9

I hope this helps!

Answer:

3−(−3)+7−4

=9

Answer is B

The volume of the cylinder above is 2314.25units3 , and the radius of the base is 8.9 units. Find the volume of the cone.

Answers

Answer:

771.4 units^3

Step-by-step explanation:

Formula for volume of a cylinder = V=πr^2h

Plug in the numbers to solve for the height (note: the height of an oblique or slanted cylinder is the same as a regular right cylinder)

2314.25 = π(8.9)^2 h

h=9.3

Then plug the height into the formula for a pyramid

V = 1/3πr^2

V = 1/3 π (8.9)^2 (9.3)

V = 771.4 units ^3

You take a 10 question multiple choice test. Each question has 4 choices and you guess on all of them. What is the probability you get 7, 8, 9, and 10 questions right. Explain your work

Answers

Answer:

Probability of getting 7 correctly = 0.0030899

Probability of getting 8 correctly = 0.00038624

Probability of getting 9 correctly = 0.00002861

Probability of getting 10 correctly = 0.00000095367

Probability of Getty at least 7 questions correctly = 0.0035057

Step-by-step explanation:

Please kindly check the attached files for more explanation.

PLEASE HELP ME ASAP..................................

Answers

Answer:

2, 4, 5

Step-by-step explanation:

Answer:

5x+3x AND 8x

(10b-10b) And 0

y-9(3) AND -27

Step-by-step explanation:

please give me brainliest

Select the three ratios that represent the number of blue marbles to red marbles.

Answers

6:9, if you need more just simply find common ratios or simplify.

Answer: Either 2:3 or 3:2

(EASY) How much does the music store charge for a yearly membership?

Answers

The music store will charge $5 for a yearly membership.

Step-by-step explanation:

Let the cost per vinyl album be 'a'

Let the yearly membership cost be 'b'

Given that,

4a + b = 35

7a + b = 57.5

9a + b = 72.5

We can take any 2 equations from the above,

(4a + b = 35 ) - (7a +b =57.5)

4a + b - 7a - b = 35 - 57.5

-3a = -22. 5

3a = 22.5

a = 7.5

The cost of each vinyl album is $7.5

4a + b = 35

4(7.5) + b = 35

30 + b = 35

b = 35 - 30

b = 5

The cost of the yearly membership is $5

The music store will charge $5 for a yearly membership.



Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recorded in the table below.



A 4-column table with 3 rows. The first column has no label with entries job, no job, total. The second column is labeled tenth grade with entries 0.14, 0.86, 1. The third column is labeled eleventh grade with entries 0.25, 0.75, 1. The fourth column is labeled total with entries 0.20, 0.80, 1.

Given the conditional relative frequency table by column, what does the 0.14 represent?
Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Given that a student has a job, there is a 14% chance he or she is a 10th grader.
14% of the students surveyed are 10th graders who have a job.
14% of the students are 10th graders.

Answers

Answer:

A.

Given that a student is a 10th grader, there is a 14% chance he or she has a job.

TOOK ONE FOR THE TEAM

Answer:

A) Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Help please will give B
-1/-3 positive rational number or negative rational number
+1/-3 positive rational number or negative rational number
-2/+3 positive rational number or negative rational number
+1/+3 positive rational number or negative rational number
+2/-3 positive rational number or negative rational number
-1/+3 positive rational number or negative rational number
-2/-3 positive rational number or negative rational number
+2/+3 positive rational number or negative rational number

Answers

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------------

Remember: When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.

(-1/-3) Positive Rational Number.

(+1/-3) Negative Rational Number.

(-2/+3) Negative Rational Number.

(+1/+3) Positive Rational Number.

(+2/-3) Negative Rational Number.

(-1/+3) Negative Rational Number.

(-2/-3) Positive Rational Number.

(+2/+3) Positive Rational Number.

Final answer:

In mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both the numerator and the denominator are of same sign (either positive or negative), the rational number is positive. If they have different signs (one positive, one negative), the rational number is negative.

Explanation:

According to the rules of mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both are positive or both are negative, the resulting number is positive. If one is positive and the other is negative, the result is negative.

-1/-3: This can be interpreted as negative divided by negative. When we divide negative by negative, the result is a positive rational number.+1/-3: This is positive divided by negative, giving a negative rational number.-2/+3: This means negative divided by positive, resulting in a negative rational number.+1/+3: Both positive, hence the result is a positive rational number.+2/-3: Stands for positive divided by negative which gives a negative rational number.-1/+3: Interpreted as negative divided by positive, giving a negative rational number.-2/-3: Both are negative, so the result is a positive rational number.+2/+3: Both are positive. Hence, the result is a positive rational number.

Learn more about Rational Numbers here:

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How many games did they play

Answers

The number of games played is 9

Let the number of games played = g

Amount of bet per game = $2

Number of games won by Marty = 4

Number of games won by Wendy will be;

g - 4

Amount won by Wendy = $10

This means ;

cost per bet × number of games won by Wendy = 10

2(g - 4) = 10

2g - 8 = 10

2g = 18

g = 9

Hence, They played 9 games.

Need help plz thank you

Answers

Answer:

20000

Step-by-step explanation:

1 km = 1000 m. 20 km = 20000, basically # of km times 100

Answer: 20,000 meters or 12.4 miles (Didn't know which one you meant)

Step-by-step explanation:

To get miles all you have to do is divide it by 1.6.

To get the meters all you have to do is to multiple it by 1000.

(Hope this helps)

-3/5n=2/5 pls help me

Answers

Answer:

the answer is the expression, 5n-3

Step-by-step explanation:

Answer:

The value of n is -3/2.

Step-by-step explanation:

In order to solve x, you have to use the Cross-Multiplication :

[tex] \frac{ - 3}{5n} = \frac{2}{5} [/tex]

[tex] - 3(5) = 2(5n)[/tex]

[tex] - 15 = 10n[/tex]

[tex]10n \div 10 = - 15 \div 10[/tex]

[tex]n = \frac{ - 15}{10} [/tex]

[tex]n = \frac{ - 3}{2} [/tex]

Does 6 have a greater absolute value than -8

Answers

Answer:

No

Step-by-step explanation:

The absolute value of -8 is 8,and 6<8.

Mark me brainliest if I helped:D

Second try PLEASE HELP ME ASAP i always give brainliests and thanks +20 points!
(if you can please explain too how to find the discriminant i am very bad at it)

Answers

Answer:

The discriminant is positive

Step-by-step explanation:

You can find that because on the graph, the top of the curve is on Y and its positive. Its at positive 4 so its positive......sorry im not good at explaning hope this helped.....also you can check google images or videos and it explanes.

Answer:

Positive

Step-by-step explanation:

In order to answer this question, we need to figure out the equation of the quadratic.

We see that the vertex is at (0, 4) and that the points (1, 3) and (2, 0) are on the graph. The generic quadratic is: ax^2 + bx + c, so we can just plug in these three points to find a, b, and c:

4 = 0 + 0 + c  ⇒  c = 4

3 = a + b + c = a + b + 4  ⇒  a + b = -1

0 = 4a + 2b + c = 4a + 2b + 4  ⇒  4a + 2b = -4

We now have two linear equations (a + b = -1 and 4a + 2b = -4) so multiply the first one by 2 and subtract it from the second:

  4a + 2b = -4            ⇒             4a + 2b = -4

- 2(a + b) = (-1) * 2       ⇒         -   2a + 2b = -2

______________     ⇒       ______________

Our difference is 2a = -2, so a = -1. Plug this back in to find b: a + b = -1.

-1 + b = -1

b = 0

So our equation is -x^2 + 4 = 0.

The discriminant is just b^2 - 4ac. Here, it is: 0^2 - 4 * (-1) * (4) = 16.

So the discriminant is positive.

Hope this helps!

Look at the image to answer.​

Answers

Maria subtracted 10x instead of adding it on step 4

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Line 4 has the problem:

[tex]12x-10x=44-10x+10x[/tex]

The correct way to put it is:

[tex]12x+10x=44-10x+10x[/tex]

which comes out to:

[tex]12x+10x=44-10x+10x\\22x=44\\x=2[/tex]

a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was 8.5 hours. what was the one-way distance?

Answers

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

[tex]Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}[/tex]

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

[tex]S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}[/tex]

The time spent (t₂) in going east is given by:

[tex]S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}[/tex]

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

[tex]\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\[/tex]

Therefore the one way distance is 1400 miles

5x + 2y = 7
y=x+1
What is the solution set of the given system?
{(5/7, 1217)
{(9/7,16/7)
{(1217,5/7)
{(16/7.9/7)]

Answers

Answer:

(5/7, 12/7) <- I think you meant to type that. Its the first one

Step-by-step explanation:

Step 1: Substitute y=x+1 in for y in 5x + 2y = 7

5x + 2(x+1) = 7

Step 2: Solve it

5x + 2x + 2 = 7

       7x + 2 = 7

             - 2  - 2

              7x = 5

              ---    ---

               7     7

                x = 5/7

Step 3; Plug x into y=x+1

y = 5/7 + 1

y = 12/7

Answer:

{(5/7 , 12/7)}

Step-by-step explanation:

First plug y into one of the x's

5x + 2(x + 1)  = 7

Now solve for X

5x + 2x + 2 = 7

Combine like terms

7x + 2 = 7

Subtract 2 from each side

7x = 5

Divide to get x by itself

x = 5/7

Now plug that into the second equation for x

y = 5/7 + 1

now just solve it

y = 12/7 if they want it simplified then it's 1 5/7

Hope this helped!

2(2x +1) = 3(x-8) =
how do you solve this ​

Answers

Answer:

x=-26

Step-by-step explanation:

Distributive property first (both sides)

you would get

4x+2 = 3x-24

next you will subtract 3x from both sides

1x+2=-24

add 24 to both sides

1x+26=0

move 26 to the other side but since you flipped it you have to make it negative

x=-26

Khloe ran around the track 7 times at the same rate of speed. It took her 21 minutes to run. Zachary took 4 minutes to run around the track once. Which student ran​ faster? Explain.

Answers

Zachary ran faster with 4 minutes per lap compared to Khloe's 3 minutes per lap.

To compare the speeds of Khloe and Zachary, we need to find their respective speeds in terms of minutes per lap.

Khloe ran around the track 7 times in 21 minutes, so her speed is [tex]\( \frac{21}{7} = 3 \)[/tex] minutes per lap.

Zachary took 4 minutes to run around the track once, so his speed is [tex]\( 4 \)[/tex] minutes per lap.

Comparing their speeds, Zachary's speed is faster at 4 minutes per lap, whereas Khloe's speed is 3 minutes per lap.

In summary, Zachary ran faster than Khloe because he completed each lap in 4 minutes compared to Khloe's 3 minutes per lap.

Please need help thank you

Answers

Answer:

C. 24

Step-by-step explanation:

In order for the assignments to be equally distributed the total amount of assignment has to be perfectly Divisible by 4.

24/4 = 6  

evaluate the expression shown 6(14+8)12

Answers

Answer:

1584

Step-by-step explanation:

Do distributive property to solve I believe

1. Solve and show your work for each question.(a) What is 0.36 expressed as a fraction in simplest form?(b) What is 0.36 expressed as a fraction in simplest form? (c) What is 0.36 expressed as a fraction in simplest form?<br />Answer: ( For question A there is a line over 36). ( For question B there is a line over 6). ( For question C there is no line over 0.36).​

Answers

Answer:

9/25

Step-by-step explanation:

0.36

36/100

18/50

9/25

Answer:

Step-by-step explanation:

     ____

a) 0.36   = 0.3636........    

x = 0.363636.......    

{After decimal two digits are there and both are repeated. So, multiply both side by 100}

100x = 36.3636.......  equ(i)

    x =   0.3636......   equ(ii)   {Now, subtract equ (ii) form (i)

99x  = 36

x = 36/99

x = 4/11

0.3636...... = 4/11

B)    __

 0.36     = 0.366666.....

{After decimal point two digits are there but only one digit, 6 is repeated. so first multiply both sides of equation [x=0.366...] by 100 and mark it as equation (i) and then multiply both sides of the equation [x=0.366...] by 10 and mark it as (ii) equation }

x = 0.3666....

100x = 36.66666.....     ---------- (i)

10x  =    3.66666......      ---------(ii)  {Now subtract (ii) from (i)}

90x = 33

x = 33/90

x = 11/30

0.36666..... = 11/30

c)

[tex]0.36=\frac{36}{100}\\\\= \frac{9}{25}[/tex]

2.) Find the length of RQ.

Answers

Answer:

the length of angle R Q is 4

5 ½ x 3=
2 ⅓ x 4 ¾=
-2 ⅖ x 3 ¼=

Answers

1) 16 1/2

2) 7

3) -1 4/5

Work out the size of angle x

Answers

Answer:

23° is the right answer brother !

Yea 23 is the answer

Which graph represents a function with an initial value of One-half?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).
Mark this and return

Answers

Answer:

The answer is B) On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).

Step-by-step explanation:

The initial value is the y-intercept and b has a y-intercept of 0.5

Hope this helps :)))

Answer:

B edge 2020

Step-by-step explanation:

What is the relationship between the sides x and y in the given figure?

Answers

Y=2x because x axis is on the bottom and X axis always comes before Y axis!

What is the radius and diameter of the following circle 24cm

Answers

Answer:

radius is 12 cm

diameter 24 cm

Answer: Radius= 12cm Diameter= 24cm

Step-by-step explanation:

Keisha and David each found the same value for cosine theta, as shown below, given Sine theta = Negative StartFraction 8 Over 17 EndFraction. Keisha’s Solution David’s Solution Tangent squared theta + 1 = secant squared theta. StartFraction sine squared theta Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. StartFraction (eight-seventeenths) squared Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. (eight-seventeenths) squared + cosine squared theta = 1. cosine theta = plus-or-minus StartRoot 1 minus StartFraction 64 Over 289 EndFraction EndRoot. cosine theta = plus-or-minus Fifteen-seventeenths sine squared theta + cosine squared theta = 1. cosine squared theta = 1 minus (negative eight-seventeenths) squared. cosine theta = plus-or-minus StartRoot StartFraction 225 Over 289 EndFraction EndRoot. Cosine theta = plus-or-minus fifteen-seventeenths Whose procedure is correct? Keisha’s procedure is correct. David’s procedure is correct. Both procedures are correct. Neither procedure is correct.

Answers

Answer:

C) Both procedures are correct

Step-by-step explanation:

1 + tan²(theta) = sec²(theta)

And

cos²(theta) = 1 - sin²(theta)

Are both valid identities

Answer:

c) both are correct

Step-by-step explanation:

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Sarah was out of the room for minutes. 1Which of the following is a necessary step in the process of speciation?Differential successEnvironmental instabilityGenetic mutationReproductive isolation How is your body able to fight and clear some viral infections over time? A reporter determines a baseball players batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121....Write this repeating decimal as a fraction. Quiero dar un paseo la playa Use the net to find the surface area of the rectangular prism. A)168 units2 B)192 units2 C)220 units2 D)224 units2 Cubist artists were most productive in which of thefollowing years?1875189919121960 Eight-year-old Cindy has to decide whether to be best friends with Jillian, who has lots of toys to play with, or with Kaitlin, whose family has invited Cindy to go camping with them. According to social exchange theory, Cindy's choice will most likely be influenced by her consideration of which of the following?A) Comparison level for alternatives.B) Evaluation of the matching hypothesis.C) Relative proximity of the two possible friends.D) The socioeconomic status of the girls' families. Leticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services. Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table below to show its cost. image 584f4e6957dd4bd891b08a92e88537ac Which statements comparing the costs of the two cleaners are true? Choose all that are correct. A If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. B If the cleaning costs for each company were graphed, the y-intercepts would be the same. C If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. D If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours. E Three Friends Cleaners charges $5 more per hour than Quick Clean. What is the name given to the patriarch of Constantinople?bishoppopemetropolitanecumenical patriarch Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?(5, 12)(-6,-5)(-3,-1)(-6,-5) Suppose the phloem of a seed plant is damaged and does not function properly.How will this most directly affect the plant?a) Water will be released from the leaves.b) The plant will become rigid.c) Water will not be taken up by the roots.d) Food will not be carried away from the leaves. Whats the equation Jacob makes 20 baskets for every 35 times he shoots the ball. What is the ratio of baskets he makes to baskets he misses? Write an equivalent ratio by simplifying. The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.Table B: Garden-Type Frequencies by RowA 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"Table A, because the given condition is that the person has a flower garden.Table A, because the given condition is that the person has a vegetable garden.Table B, because the given condition is that the person has a flower garden.Table B, because the given condition is that the person has a vegetable garden. 8. Muscle fatigue and soreness may result when..a. ATP consumption equals ATP production.b. ATP consumption is less than ATP production.C. ATP consumption exceeds ATP production.d. All of the above A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years. At a .05 level of significance, it can be concluded that the mean age is: